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Finding the Third Proportional to 766.13 and 893.53

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Solution

The third proportional to 766.13 and 893.53 is: 1,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 893.53 = 893.53 : x
  2. Step 2: Convert to fraction form
    766.13/893.53 = 893.53/x
  3. Step 3: Cross multiply
    766.13x = 893.53 × 893.53
  4. Step 4: Simplify right side
    766.13x = 798,398.09
  5. Step 5: Solve for x
    x = 798,398.09/766.13
  6. Step 6: Final answer
    x = 1,042.13

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.